关于nil-clean矩阵环的研究  

Study on Nil-clean Matrix Rings

作　　者：彭喻振 苏华东 PENG Yu-zhen;SU Hua-dong(School of Mathematics and Statistics, Guangxi Teachers Education University,Nanning 530299,China)

机构地区：[1]广西师范学院数学与统计科学学院,广西南宁530299

出　　处：《广西师范学院学报（自然科学版）》2018年第4期36-41,共6页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金项目(11661013;11661014);广西自然科学基金项目(2016GXNSFCA380014;2016GX SFDA380017);广西高校中青年教师基础能力提升项目(KY2016YB287;2017KY0408)

摘　　要：nil-clean环是近年来引起学者们注意的一类环,对这类环的研究已得到了较多的结果.nil-clean环在矩阵环函子作用下的行为对于刻画和构造nil-clean环有着重要意义,因而尤为引入注目.该文从范畴的高度简要地综述了这方面的研究成果.Nil-clean rings have attracted considerable attention in recent years,and there have been a number of articles concerning them in the literature.The behaviors of nil-clean rings under the action of the matrix functor are especially noticeable,because they play an important role in the description and construction of nil-clean rings.We give in this paper a brief survey of the current study of nil-clean matrix rings at the categorical level.

关 键 词：nil-clean环 幂等元 幂零元 矩阵环 

分 类 号：O153.3[理学—数学]